Finding the Fourth Proportional to 9,256.89, 12,774.48 and 5,065.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,256.89 : 12,774.48 = 5,065.14 : x
2. Step 2: Convert to fraction form
   9,256.89/12,774.48 = 5,065.14/x
3. Step 3: Cross multiply
   9,256.89x = 12,774.48 × 5,065.14
4. Step 4: Simplify right side
   9,256.89x = 64,704,529.63
5. Step 5: Solve for x
   x = 64,704,529.63/9,256.89
6. Step 6: Final answer
   x = 6,989.88